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Finding the Fourth Proportional to 2,364.27, 3,262.13 and 1,419.76

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Solution

The fourth proportional to 2,364.27, 3,262.13 and 1,419.76 is: 1,958.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.27 : 3,262.13 = 1,419.76 : x
  2. Step 2: Convert to fraction form
    2,364.27/3,262.13 = 1,419.76/x
  3. Step 3: Cross multiply
    2,364.27x = 3,262.13 × 1,419.76
  4. Step 4: Simplify right side
    2,364.27x = 4,631,441.69
  5. Step 5: Solve for x
    x = 4,631,441.69/2,364.27
  6. Step 6: Final answer
    x = 1,958.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.